What is the Greatest Common Factor of 77938 and 77953?

Greatest common factor (GCF) of 77938 and 77953 is 1.

GCF(77938,77953) = 1

We will now calculate the prime factors of 77938 and 77953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77938 and 77953.

How to find the GCF of 77938 and 77953?

We will first find the prime factorization of 77938 and 77953. After we will calculate the factors of 77938 and 77953 and find the biggest common factor number .

Step-1: Prime Factorization of 77938

Prime factors of 77938 are 2, 7, 19, 293. Prime factorization of 77938 in exponential form is:

77938 = 2¹ × 7¹ × 19¹ × 293¹

Step-2: Prime Factorization of 77953

Prime factors of 77953 are 137, 569. Prime factorization of 77953 in exponential form is:

77953 = 137¹ × 569¹

Step-3: Factors of 77938

List of positive integer factors of 77938 that divides 77938 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 293, 586, 2051, 4102, 5567, 11134, 38969

Step-4: Factors of 77953

List of positive integer factors of 77953 that divides 77938 without a remainder.

1, 137, 569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77938 and 77953. The biggest common factor number is the GCF number.
So the greatest common factor 77938 and 77953 is 1.

Also check out the Least Common Multiple of 77938 and 77953