What is the Greatest Common Factor of 37506 and 37520?

Greatest common factor (GCF) of 37506 and 37520 is 14.

GCF(37506,37520) = 14

We will now calculate the prime factors of 37506 and 37520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37506 and 37520.

How to find the GCF of 37506 and 37520?

We will first find the prime factorization of 37506 and 37520. After we will calculate the factors of 37506 and 37520 and find the biggest common factor number .

Step-1: Prime Factorization of 37506

Prime factors of 37506 are 2, 3, 7, 19, 47. Prime factorization of 37506 in exponential form is:

37506 = 2¹ × 3¹ × 7¹ × 19¹ × 47¹

Step-2: Prime Factorization of 37520

Prime factors of 37520 are 2, 5, 7, 67. Prime factorization of 37520 in exponential form is:

37520 = 2⁴ × 5¹ × 7¹ × 67¹

Step-3: Factors of 37506

List of positive integer factors of 37506 that divides 37506 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 47, 57, 94, 114, 133, 141, 266, 282, 329, 399, 658, 798, 893, 987, 1786, 1974, 2679, 5358, 6251, 12502, 18753

Step-4: Factors of 37520

List of positive integer factors of 37520 that divides 37506 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 67, 70, 80, 112, 134, 140, 268, 280, 335, 469, 536, 560, 670, 938, 1072, 1340, 1876, 2345, 2680, 3752, 4690, 5360, 7504, 9380, 18760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37506 and 37520. The biggest common factor number is the GCF number.
So the greatest common factor 37506 and 37520 is 14.

Also check out the Least Common Multiple of 37506 and 37520