What is the Greatest Common Factor of 37554 and 37565?

Greatest common factor (GCF) of 37554 and 37565 is 11.

GCF(37554,37565) = 11

We will now calculate the prime factors of 37554 and 37565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37554 and 37565.

How to find the GCF of 37554 and 37565?

We will first find the prime factorization of 37554 and 37565. After we will calculate the factors of 37554 and 37565 and find the biggest common factor number .

Step-1: Prime Factorization of 37554

Prime factors of 37554 are 2, 3, 11, 569. Prime factorization of 37554 in exponential form is:

37554 = 2¹ × 3¹ × 11¹ × 569¹

Step-2: Prime Factorization of 37565

Prime factors of 37565 are 5, 11, 683. Prime factorization of 37565 in exponential form is:

37565 = 5¹ × 11¹ × 683¹

Step-3: Factors of 37554

List of positive integer factors of 37554 that divides 37554 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 569, 1138, 1707, 3414, 6259, 12518, 18777

Step-4: Factors of 37565

List of positive integer factors of 37565 that divides 37554 without a remainder.

1, 5, 11, 55, 683, 3415, 7513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37554 and 37565. The biggest common factor number is the GCF number.
So the greatest common factor 37554 and 37565 is 11.

Also check out the Least Common Multiple of 37554 and 37565