What is the Greatest Common Factor of 70968 and 70980?

Greatest common factor (GCF) of 70968 and 70980 is 12.

GCF(70968,70980) = 12

We will now calculate the prime factors of 70968 and 70980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70968 and 70980.

How to find the GCF of 70968 and 70980?

We will first find the prime factorization of 70968 and 70980. After we will calculate the factors of 70968 and 70980 and find the biggest common factor number .

Step-1: Prime Factorization of 70968

Prime factors of 70968 are 2, 3, 2957. Prime factorization of 70968 in exponential form is:

70968 = 2³ × 3¹ × 2957¹

Step-2: Prime Factorization of 70980

Prime factors of 70980 are 2, 3, 5, 7, 13. Prime factorization of 70980 in exponential form is:

70980 = 2² × 3¹ × 5¹ × 7¹ × 13²

Step-3: Factors of 70968

List of positive integer factors of 70968 that divides 70968 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2957, 5914, 8871, 11828, 17742, 23656, 35484

Step-4: Factors of 70980

List of positive integer factors of 70980 that divides 70968 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 52, 60, 65, 70, 78, 84, 91, 105, 130, 140, 156, 169, 182, 195, 210, 260, 273, 338, 364, 390, 420, 455, 507, 546, 676, 780, 845, 910, 1014, 1092, 1183, 1365, 1690, 1820, 2028, 2366, 2535, 2730, 3380, 3549, 4732, 5070, 5460, 5915, 7098, 10140, 11830, 14196, 17745, 23660, 35490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70968 and 70980. The biggest common factor number is the GCF number.
So the greatest common factor 70968 and 70980 is 12.

Also check out the Least Common Multiple of 70968 and 70980