What is the Greatest Common Factor of 37540 and 37560?

Greatest common factor (GCF) of 37540 and 37560 is 20.

GCF(37540,37560) = 20

We will now calculate the prime factors of 37540 and 37560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37540 and 37560.

How to find the GCF of 37540 and 37560?

We will first find the prime factorization of 37540 and 37560. After we will calculate the factors of 37540 and 37560 and find the biggest common factor number .

Step-1: Prime Factorization of 37540

Prime factors of 37540 are 2, 5, 1877. Prime factorization of 37540 in exponential form is:

37540 = 2² × 5¹ × 1877¹

Step-2: Prime Factorization of 37560

Prime factors of 37560 are 2, 3, 5, 313. Prime factorization of 37560 in exponential form is:

37560 = 2³ × 3¹ × 5¹ × 313¹

Step-3: Factors of 37540

List of positive integer factors of 37540 that divides 37540 without a remainder.

1, 2, 4, 5, 10, 20, 1877, 3754, 7508, 9385, 18770

Step-4: Factors of 37560

List of positive integer factors of 37560 that divides 37540 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 313, 626, 939, 1252, 1565, 1878, 2504, 3130, 3756, 4695, 6260, 7512, 9390, 12520, 18780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37540 and 37560. The biggest common factor number is the GCF number.
So the greatest common factor 37540 and 37560 is 20.

Also check out the Least Common Multiple of 37540 and 37560