What is the Greatest Common Factor of 37520 and 37534?

Greatest common factor (GCF) of 37520 and 37534 is 14.

GCF(37520,37534) = 14

We will now calculate the prime factors of 37520 and 37534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37520 and 37534.

How to find the GCF of 37520 and 37534?

We will first find the prime factorization of 37520 and 37534. After we will calculate the factors of 37520 and 37534 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37534

Prime factors of 37534 are 2, 7, 383. Prime factorization of 37534 in exponential form is:

37534 = 2¹ × 7² × 383¹

Step-3: Factors of 37520

List of positive integer factors of 37520 that divides 37520 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

Step-4: Factors of 37534

List of positive integer factors of 37534 that divides 37520 without a remainder.

1, 2, 7, 14, 49, 98, 383, 766, 2681, 5362, 18767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37520 and 37534. The biggest common factor number is the GCF number.
So the greatest common factor 37520 and 37534 is 14.

Also check out the Least Common Multiple of 37520 and 37534