What is the Greatest Common Factor of 77969 and 77988?

Greatest common factor (GCF) of 77969 and 77988 is 1.

GCF(77969,77988) = 1

We will now calculate the prime factors of 77969 and 77988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77969 and 77988.

How to find the GCF of 77969 and 77988?

We will first find the prime factorization of 77969 and 77988. After we will calculate the factors of 77969 and 77988 and find the biggest common factor number .

Step-1: Prime Factorization of 77969

Prime factors of 77969 are 77969. Prime factorization of 77969 in exponential form is:

77969 = 77969¹

Step-2: Prime Factorization of 77988

Prime factors of 77988 are 2, 3, 67, 97. Prime factorization of 77988 in exponential form is:

77988 = 2² × 3¹ × 67¹ × 97¹

Step-3: Factors of 77969

List of positive integer factors of 77969 that divides 77969 without a remainder.

Step-4: Factors of 77988

List of positive integer factors of 77988 that divides 77969 without a remainder.

1, 2, 3, 4, 6, 12, 67, 97, 134, 194, 201, 268, 291, 388, 402, 582, 804, 1164, 6499, 12998, 19497, 25996, 38994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77969 and 77988. The biggest common factor number is the GCF number.
So the greatest common factor 77969 and 77988 is 1.

Also check out the Least Common Multiple of 77969 and 77988