What is the Greatest Common Factor of 77054 and 77062?

Greatest common factor (GCF) of 77054 and 77062 is 2.

GCF(77054,77062) = 2

We will now calculate the prime factors of 77054 and 77062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77054 and 77062.

How to find the GCF of 77054 and 77062?

We will first find the prime factorization of 77054 and 77062. After we will calculate the factors of 77054 and 77062 and find the biggest common factor number .

Step-1: Prime Factorization of 77054

Prime factors of 77054 are 2, 59, 653. Prime factorization of 77054 in exponential form is:

77054 = 2¹ × 59¹ × 653¹

Step-2: Prime Factorization of 77062

Prime factors of 77062 are 2, 53, 727. Prime factorization of 77062 in exponential form is:

77062 = 2¹ × 53¹ × 727¹

Step-3: Factors of 77054

List of positive integer factors of 77054 that divides 77054 without a remainder.

1, 2, 59, 118, 653, 1306, 38527

Step-4: Factors of 77062

List of positive integer factors of 77062 that divides 77054 without a remainder.

1, 2, 53, 106, 727, 1454, 38531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77054 and 77062. The biggest common factor number is the GCF number.
So the greatest common factor 77054 and 77062 is 2.

Also check out the Least Common Multiple of 77054 and 77062