What is the Greatest Common Factor of 74879 and 74886?

Greatest common factor (GCF) of 74879 and 74886 is 7.

GCF(74879,74886) = 7

We will now calculate the prime factors of 74879 and 74886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74879 and 74886.

How to find the GCF of 74879 and 74886?

We will first find the prime factorization of 74879 and 74886. After we will calculate the factors of 74879 and 74886 and find the biggest common factor number .

Step-1: Prime Factorization of 74879

Prime factors of 74879 are 7, 19, 563. Prime factorization of 74879 in exponential form is:

74879 = 7¹ × 19¹ × 563¹

Step-2: Prime Factorization of 74886

Prime factors of 74886 are 2, 3, 7, 1783. Prime factorization of 74886 in exponential form is:

74886 = 2¹ × 3¹ × 7¹ × 1783¹

Step-3: Factors of 74879

List of positive integer factors of 74879 that divides 74879 without a remainder.

1, 7, 19, 133, 563, 3941, 10697

Step-4: Factors of 74886

List of positive integer factors of 74886 that divides 74879 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1783, 3566, 5349, 10698, 12481, 24962, 37443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74879 and 74886. The biggest common factor number is the GCF number.
So the greatest common factor 74879 and 74886 is 7.

Also check out the Least Common Multiple of 74879 and 74886