What is the Greatest Common Factor of 77238 and 77252?

Greatest common factor (GCF) of 77238 and 77252 is 14.

GCF(77238,77252) = 14

We will now calculate the prime factors of 77238 and 77252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77238 and 77252.

How to find the GCF of 77238 and 77252?

We will first find the prime factorization of 77238 and 77252. After we will calculate the factors of 77238 and 77252 and find the biggest common factor number .

Step-1: Prime Factorization of 77238

Prime factors of 77238 are 2, 3, 7, 613. Prime factorization of 77238 in exponential form is:

77238 = 2¹ × 3² × 7¹ × 613¹

Step-2: Prime Factorization of 77252

Prime factors of 77252 are 2, 7, 31, 89. Prime factorization of 77252 in exponential form is:

77252 = 2² × 7¹ × 31¹ × 89¹

Step-3: Factors of 77238

List of positive integer factors of 77238 that divides 77238 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 613, 1226, 1839, 3678, 4291, 5517, 8582, 11034, 12873, 25746, 38619

Step-4: Factors of 77252

List of positive integer factors of 77252 that divides 77238 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 89, 124, 178, 217, 356, 434, 623, 868, 1246, 2492, 2759, 5518, 11036, 19313, 38626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77238 and 77252. The biggest common factor number is the GCF number.
So the greatest common factor 77238 and 77252 is 14.

Also check out the Least Common Multiple of 77238 and 77252