What is the Greatest Common Factor of 74620 and 74625?

Greatest common factor (GCF) of 74620 and 74625 is 5.

GCF(74620,74625) = 5

We will now calculate the prime factors of 74620 and 74625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74620 and 74625.

How to find the GCF of 74620 and 74625?

We will first find the prime factorization of 74620 and 74625. After we will calculate the factors of 74620 and 74625 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 74625

Prime factors of 74625 are 3, 5, 199. Prime factorization of 74625 in exponential form is:

74625 = 3¹ × 5³ × 199¹

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 74625

List of positive integer factors of 74625 that divides 74620 without a remainder.

1, 3, 5, 15, 25, 75, 125, 199, 375, 597, 995, 2985, 4975, 14925, 24875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74620 and 74625. The biggest common factor number is the GCF number.
So the greatest common factor 74620 and 74625 is 5.

Also check out the Least Common Multiple of 74620 and 74625