What is the Greatest Common Factor of 71936 and 71948?

Greatest common factor (GCF) of 71936 and 71948 is 4.

GCF(71936,71948) = 4

We will now calculate the prime factors of 71936 and 71948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71936 and 71948.

How to find the GCF of 71936 and 71948?

We will first find the prime factorization of 71936 and 71948. After we will calculate the factors of 71936 and 71948 and find the biggest common factor number .

Step-1: Prime Factorization of 71936

Prime factors of 71936 are 2, 281. Prime factorization of 71936 in exponential form is:

71936 = 2⁸ × 281¹

Step-2: Prime Factorization of 71948

Prime factors of 71948 are 2, 17987. Prime factorization of 71948 in exponential form is:

71948 = 2² × 17987¹

Step-3: Factors of 71936

List of positive integer factors of 71936 that divides 71936 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 281, 562, 1124, 2248, 4496, 8992, 17984, 35968

Step-4: Factors of 71948

List of positive integer factors of 71948 that divides 71936 without a remainder.

1, 2, 4, 17987, 35974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71936 and 71948. The biggest common factor number is the GCF number.
So the greatest common factor 71936 and 71948 is 4.

Also check out the Least Common Multiple of 71936 and 71948