What is the Greatest Common Factor of 87934 and 87948?

Greatest common factor (GCF) of 87934 and 87948 is 14.

GCF(87934,87948) = 14

We will now calculate the prime factors of 87934 and 87948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87934 and 87948.

How to find the GCF of 87934 and 87948?

We will first find the prime factorization of 87934 and 87948. After we will calculate the factors of 87934 and 87948 and find the biggest common factor number .

Step-1: Prime Factorization of 87934

Prime factors of 87934 are 2, 7, 11, 571. Prime factorization of 87934 in exponential form is:

87934 = 2¹ × 7¹ × 11¹ × 571¹

Step-2: Prime Factorization of 87948

Prime factors of 87948 are 2, 3, 7, 349. Prime factorization of 87948 in exponential form is:

87948 = 2² × 3² × 7¹ × 349¹

Step-3: Factors of 87934

List of positive integer factors of 87934 that divides 87934 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 571, 1142, 3997, 6281, 7994, 12562, 43967

Step-4: Factors of 87948

List of positive integer factors of 87948 that divides 87934 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 349, 698, 1047, 1396, 2094, 2443, 3141, 4188, 4886, 6282, 7329, 9772, 12564, 14658, 21987, 29316, 43974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87934 and 87948. The biggest common factor number is the GCF number.
So the greatest common factor 87934 and 87948 is 14.

Also check out the Least Common Multiple of 87934 and 87948