What is the Greatest Common Factor of 60970 and 60984?

Greatest common factor (GCF) of 60970 and 60984 is 14.

GCF(60970,60984) = 14

We will now calculate the prime factors of 60970 and 60984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60970 and 60984.

How to find the GCF of 60970 and 60984?

We will first find the prime factorization of 60970 and 60984. After we will calculate the factors of 60970 and 60984 and find the biggest common factor number .

Step-1: Prime Factorization of 60970

Prime factors of 60970 are 2, 5, 7, 13, 67. Prime factorization of 60970 in exponential form is:

60970 = 2¹ × 5¹ × 7¹ × 13¹ × 67¹

Step-2: Prime Factorization of 60984

Prime factors of 60984 are 2, 3, 7, 11. Prime factorization of 60984 in exponential form is:

60984 = 2³ × 3² × 7¹ × 11²

Step-3: Factors of 60970

List of positive integer factors of 60970 that divides 60970 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 67, 70, 91, 130, 134, 182, 335, 455, 469, 670, 871, 910, 938, 1742, 2345, 4355, 4690, 6097, 8710, 12194, 30485

Step-4: Factors of 60984

List of positive integer factors of 60984 that divides 60970 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 28, 33, 36, 42, 44, 56, 63, 66, 72, 77, 84, 88, 99, 121, 126, 132, 154, 168, 198, 231, 242, 252, 264, 308, 363, 396, 462, 484, 504, 616, 693, 726, 792, 847, 924, 968, 1089, 1386, 1452, 1694, 1848, 2178, 2541, 2772, 2904, 3388, 4356, 5082, 5544, 6776, 7623, 8712, 10164, 15246, 20328, 30492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60970 and 60984. The biggest common factor number is the GCF number.
So the greatest common factor 60970 and 60984 is 14.

Also check out the Least Common Multiple of 60970 and 60984