What is the Greatest Common Factor of 77962 and 77982?

Greatest common factor (GCF) of 77962 and 77982 is 2.

GCF(77962,77982) = 2

We will now calculate the prime factors of 77962 and 77982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77962 and 77982.

How to find the GCF of 77962 and 77982?

We will first find the prime factorization of 77962 and 77982. After we will calculate the factors of 77962 and 77982 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 77982

Prime factors of 77982 are 2, 3, 41, 317. Prime factorization of 77982 in exponential form is:

77982 = 2¹ × 3¹ × 41¹ × 317¹

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 77982

List of positive integer factors of 77982 that divides 77962 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 317, 634, 951, 1902, 12997, 25994, 38991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77962 and 77982. The biggest common factor number is the GCF number.
So the greatest common factor 77962 and 77982 is 2.

Also check out the Least Common Multiple of 77962 and 77982