What is the Greatest Common Factor of 74620 and 74634?

Greatest common factor (GCF) of 74620 and 74634 is 14.

GCF(74620,74634) = 14

We will now calculate the prime factors of 74620 and 74634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74620 and 74634.

How to find the GCF of 74620 and 74634?

We will first find the prime factorization of 74620 and 74634. After we will calculate the factors of 74620 and 74634 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 74634

Prime factors of 74634 are 2, 3, 7, 1777. Prime factorization of 74634 in exponential form is:

74634 = 2¹ × 3¹ × 7¹ × 1777¹

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 74634

List of positive integer factors of 74634 that divides 74620 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1777, 3554, 5331, 10662, 12439, 24878, 37317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74620 and 74634. The biggest common factor number is the GCF number.
So the greatest common factor 74620 and 74634 is 14.

Also check out the Least Common Multiple of 74620 and 74634