What is the Greatest Common Factor of 77058 and 77072?

Greatest common factor (GCF) of 77058 and 77072 is 2.

GCF(77058,77072) = 2

We will now calculate the prime factors of 77058 and 77072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77058 and 77072.

How to find the GCF of 77058 and 77072?

We will first find the prime factorization of 77058 and 77072. After we will calculate the factors of 77058 and 77072 and find the biggest common factor number .

Step-1: Prime Factorization of 77058

Prime factors of 77058 are 2, 3, 1427. Prime factorization of 77058 in exponential form is:

77058 = 2¹ × 3³ × 1427¹

Step-2: Prime Factorization of 77072

Prime factors of 77072 are 2, 4817. Prime factorization of 77072 in exponential form is:

77072 = 2⁴ × 4817¹

Step-3: Factors of 77058

List of positive integer factors of 77058 that divides 77058 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1427, 2854, 4281, 8562, 12843, 25686, 38529

Step-4: Factors of 77072

List of positive integer factors of 77072 that divides 77058 without a remainder.

1, 2, 4, 8, 16, 4817, 9634, 19268, 38536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77058 and 77072. The biggest common factor number is the GCF number.
So the greatest common factor 77058 and 77072 is 2.

Also check out the Least Common Multiple of 77058 and 77072