What is the Greatest Common Factor of 77962 and 77972?

Greatest common factor (GCF) of 77962 and 77972 is 2.

GCF(77962,77972) = 2

We will now calculate the prime factors of 77962 and 77972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77962 and 77972.

How to find the GCF of 77962 and 77972?

We will first find the prime factorization of 77962 and 77972. After we will calculate the factors of 77962 and 77972 and find the biggest common factor number .

Step-1: Prime Factorization of 77962

Prime factors of 77962 are 2, 17, 2293. Prime factorization of 77962 in exponential form is:

77962 = 2¹ × 17¹ × 2293¹

Step-2: Prime Factorization of 77972

Prime factors of 77972 are 2, 101, 193. Prime factorization of 77972 in exponential form is:

77972 = 2² × 101¹ × 193¹

Step-3: Factors of 77962

List of positive integer factors of 77962 that divides 77962 without a remainder.

1, 2, 17, 34, 2293, 4586, 38981

Step-4: Factors of 77972

List of positive integer factors of 77972 that divides 77962 without a remainder.

1, 2, 4, 101, 193, 202, 386, 404, 772, 19493, 38986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77962 and 77972. The biggest common factor number is the GCF number.
So the greatest common factor 77962 and 77972 is 2.

Also check out the Least Common Multiple of 77962 and 77972