What is the Greatest Common Factor of 37753 and 37772?

Greatest common factor (GCF) of 37753 and 37772 is 19.

GCF(37753,37772) = 19

We will now calculate the prime factors of 37753 and 37772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37753 and 37772.

How to find the GCF of 37753 and 37772?

We will first find the prime factorization of 37753 and 37772. After we will calculate the factors of 37753 and 37772 and find the biggest common factor number .

Step-1: Prime Factorization of 37753

Prime factors of 37753 are 19, 1987. Prime factorization of 37753 in exponential form is:

37753 = 19¹ × 1987¹

Step-2: Prime Factorization of 37772

Prime factors of 37772 are 2, 7, 19, 71. Prime factorization of 37772 in exponential form is:

37772 = 2² × 7¹ × 19¹ × 71¹

Step-3: Factors of 37753

List of positive integer factors of 37753 that divides 37753 without a remainder.

1, 19, 1987

Step-4: Factors of 37772

List of positive integer factors of 37772 that divides 37753 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 71, 76, 133, 142, 266, 284, 497, 532, 994, 1349, 1988, 2698, 5396, 9443, 18886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37753 and 37772. The biggest common factor number is the GCF number.
So the greatest common factor 37753 and 37772 is 19.

Also check out the Least Common Multiple of 37753 and 37772