What is the Greatest Common Factor of 76006 and 76026?

Greatest common factor (GCF) of 76006 and 76026 is 2.

GCF(76006,76026) = 2

We will now calculate the prime factors of 76006 and 76026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76006 and 76026.

How to find the GCF of 76006 and 76026?

We will first find the prime factorization of 76006 and 76026. After we will calculate the factors of 76006 and 76026 and find the biggest common factor number .

Step-1: Prime Factorization of 76006

Prime factors of 76006 are 2, 7, 61, 89. Prime factorization of 76006 in exponential form is:

76006 = 2¹ × 7¹ × 61¹ × 89¹

Step-2: Prime Factorization of 76026

Prime factors of 76026 are 2, 3, 12671. Prime factorization of 76026 in exponential form is:

76026 = 2¹ × 3¹ × 12671¹

Step-3: Factors of 76006

List of positive integer factors of 76006 that divides 76006 without a remainder.

1, 2, 7, 14, 61, 89, 122, 178, 427, 623, 854, 1246, 5429, 10858, 38003

Step-4: Factors of 76026

List of positive integer factors of 76026 that divides 76006 without a remainder.

1, 2, 3, 6, 12671, 25342, 38013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76006 and 76026. The biggest common factor number is the GCF number.
So the greatest common factor 76006 and 76026 is 2.

Also check out the Least Common Multiple of 76006 and 76026