What is the Greatest Common Factor of 77972 and 77990?

Greatest common factor (GCF) of 77972 and 77990 is 2.

GCF(77972,77990) = 2

We will now calculate the prime factors of 77972 and 77990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77972 and 77990.

How to find the GCF of 77972 and 77990?

We will first find the prime factorization of 77972 and 77990. After we will calculate the factors of 77972 and 77990 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77990

Prime factors of 77990 are 2, 5, 11, 709. Prime factorization of 77990 in exponential form is:

77990 = 2¹ × 5¹ × 11¹ × 709¹

Step-3: Factors of 77972

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

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

Step-4: Factors of 77990

List of positive integer factors of 77990 that divides 77972 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 709, 1418, 3545, 7090, 7799, 15598, 38995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77972 and 77990. The biggest common factor number is the GCF number.
So the greatest common factor 77972 and 77990 is 2.

Also check out the Least Common Multiple of 77972 and 77990