What is the Greatest Common Factor of 70980 and 70994?

Greatest common factor (GCF) of 70980 and 70994 is 14.

GCF(70980,70994) = 14

We will now calculate the prime factors of 70980 and 70994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70980 and 70994.

How to find the GCF of 70980 and 70994?

We will first find the prime factorization of 70980 and 70994. After we will calculate the factors of 70980 and 70994 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70994

Prime factors of 70994 are 2, 7, 11, 461. Prime factorization of 70994 in exponential form is:

70994 = 2¹ × 7¹ × 11¹ × 461¹

Step-3: Factors of 70980

List of positive integer factors of 70980 that divides 70980 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

Step-4: Factors of 70994

List of positive integer factors of 70994 that divides 70980 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 461, 922, 3227, 5071, 6454, 10142, 35497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70980 and 70994. The biggest common factor number is the GCF number.
So the greatest common factor 70980 and 70994 is 14.

Also check out the Least Common Multiple of 70980 and 70994