What is the Greatest Common Factor of 74620 and 74627?

Greatest common factor (GCF) of 74620 and 74627 is 7.

GCF(74620,74627) = 7

We will now calculate the prime factors of 74620 and 74627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74620 and 74627.

How to find the GCF of 74620 and 74627?

We will first find the prime factorization of 74620 and 74627. After we will calculate the factors of 74620 and 74627 and find the biggest common factor number .

Step-1: Prime Factorization of 74620

Prime factors of 74620 are 2, 5, 7, 13, 41. Prime factorization of 74620 in exponential form is:

74620 = 2² × 5¹ × 7¹ × 13¹ × 41¹

Step-2: Prime Factorization of 74627

Prime factors of 74627 are 7, 1523. Prime factorization of 74627 in exponential form is:

74627 = 7² × 1523¹

Step-3: Factors of 74620

List of positive integer factors of 74620 that divides 74620 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 41, 52, 65, 70, 82, 91, 130, 140, 164, 182, 205, 260, 287, 364, 410, 455, 533, 574, 820, 910, 1066, 1148, 1435, 1820, 2132, 2665, 2870, 3731, 5330, 5740, 7462, 10660, 14924, 18655, 37310

Step-4: Factors of 74627

List of positive integer factors of 74627 that divides 74620 without a remainder.

1, 7, 49, 1523, 10661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74620 and 74627. The biggest common factor number is the GCF number.
So the greatest common factor 74620 and 74627 is 7.

Also check out the Least Common Multiple of 74620 and 74627