What is the Greatest Common Factor of 77007 and 77026?

Greatest common factor (GCF) of 77007 and 77026 is 19.

GCF(77007,77026) = 19

We will now calculate the prime factors of 77007 and 77026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77007 and 77026.

How to find the GCF of 77007 and 77026?

We will first find the prime factorization of 77007 and 77026. After we will calculate the factors of 77007 and 77026 and find the biggest common factor number .

Step-1: Prime Factorization of 77007

Prime factors of 77007 are 3, 7, 19, 193. Prime factorization of 77007 in exponential form is:

77007 = 3¹ × 7¹ × 19¹ × 193¹

Step-2: Prime Factorization of 77026

Prime factors of 77026 are 2, 19, 2027. Prime factorization of 77026 in exponential form is:

77026 = 2¹ × 19¹ × 2027¹

Step-3: Factors of 77007

List of positive integer factors of 77007 that divides 77007 without a remainder.

1, 3, 7, 19, 21, 57, 133, 193, 399, 579, 1351, 3667, 4053, 11001, 25669

Step-4: Factors of 77026

List of positive integer factors of 77026 that divides 77007 without a remainder.

1, 2, 19, 38, 2027, 4054, 38513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77007 and 77026. The biggest common factor number is the GCF number.
So the greatest common factor 77007 and 77026 is 19.

Also check out the Least Common Multiple of 77007 and 77026