What is the Greatest Common Factor of 71492 and 71512?

Greatest common factor (GCF) of 71492 and 71512 is 4.

GCF(71492,71512) = 4

We will now calculate the prime factors of 71492 and 71512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71492 and 71512.

How to find the GCF of 71492 and 71512?

We will first find the prime factorization of 71492 and 71512. After we will calculate the factors of 71492 and 71512 and find the biggest common factor number .

Step-1: Prime Factorization of 71492

Prime factors of 71492 are 2, 61, 293. Prime factorization of 71492 in exponential form is:

71492 = 2² × 61¹ × 293¹

Step-2: Prime Factorization of 71512

Prime factors of 71512 are 2, 7, 1277. Prime factorization of 71512 in exponential form is:

71512 = 2³ × 7¹ × 1277¹

Step-3: Factors of 71492

List of positive integer factors of 71492 that divides 71492 without a remainder.

1, 2, 4, 61, 122, 244, 293, 586, 1172, 17873, 35746

Step-4: Factors of 71512

List of positive integer factors of 71512 that divides 71492 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1277, 2554, 5108, 8939, 10216, 17878, 35756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71492 and 71512. The biggest common factor number is the GCF number.
So the greatest common factor 71492 and 71512 is 4.

Also check out the Least Common Multiple of 71492 and 71512