What is the Greatest Common Factor of 77076 and 77091?

Greatest common factor (GCF) of 77076 and 77091 is 3.

GCF(77076,77091) = 3

We will now calculate the prime factors of 77076 and 77091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77076 and 77091.

How to find the GCF of 77076 and 77091?

We will first find the prime factorization of 77076 and 77091. After we will calculate the factors of 77076 and 77091 and find the biggest common factor number .

Step-1: Prime Factorization of 77076

Prime factors of 77076 are 2, 3, 2141. Prime factorization of 77076 in exponential form is:

77076 = 2² × 3² × 2141¹

Step-2: Prime Factorization of 77091

Prime factors of 77091 are 3, 7, 3671. Prime factorization of 77091 in exponential form is:

77091 = 3¹ × 7¹ × 3671¹

Step-3: Factors of 77076

List of positive integer factors of 77076 that divides 77076 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2141, 4282, 6423, 8564, 12846, 19269, 25692, 38538

Step-4: Factors of 77091

List of positive integer factors of 77091 that divides 77076 without a remainder.

1, 3, 7, 21, 3671, 11013, 25697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77076 and 77091. The biggest common factor number is the GCF number.
So the greatest common factor 77076 and 77091 is 3.

Also check out the Least Common Multiple of 77076 and 77091