What is the Greatest Common Factor of 71952 and 71962?

Greatest common factor (GCF) of 71952 and 71962 is 2.

GCF(71952,71962) = 2

We will now calculate the prime factors of 71952 and 71962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71952 and 71962.

How to find the GCF of 71952 and 71962?

We will first find the prime factorization of 71952 and 71962. After we will calculate the factors of 71952 and 71962 and find the biggest common factor number .

Step-1: Prime Factorization of 71952

Prime factors of 71952 are 2, 3, 1499. Prime factorization of 71952 in exponential form is:

71952 = 2⁴ × 3¹ × 1499¹

Step-2: Prime Factorization of 71962

Prime factors of 71962 are 2, 11, 3271. Prime factorization of 71962 in exponential form is:

71962 = 2¹ × 11¹ × 3271¹

Step-3: Factors of 71952

List of positive integer factors of 71952 that divides 71952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1499, 2998, 4497, 5996, 8994, 11992, 17988, 23984, 35976

Step-4: Factors of 71962

List of positive integer factors of 71962 that divides 71952 without a remainder.

1, 2, 11, 22, 3271, 6542, 35981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71952 and 71962. The biggest common factor number is the GCF number.
So the greatest common factor 71952 and 71962 is 2.

Also check out the Least Common Multiple of 71952 and 71962