What is the Greatest Common Factor of 37765 and 37775?

Greatest common factor (GCF) of 37765 and 37775 is 5.

GCF(37765,37775) = 5

We will now calculate the prime factors of 37765 and 37775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37765 and 37775.

How to find the GCF of 37765 and 37775?

We will first find the prime factorization of 37765 and 37775. After we will calculate the factors of 37765 and 37775 and find the biggest common factor number .

Step-1: Prime Factorization of 37765

Prime factors of 37765 are 5, 7, 13, 83. Prime factorization of 37765 in exponential form is:

37765 = 5¹ × 7¹ × 13¹ × 83¹

Step-2: Prime Factorization of 37775

Prime factors of 37775 are 5, 1511. Prime factorization of 37775 in exponential form is:

37775 = 5² × 1511¹

Step-3: Factors of 37765

List of positive integer factors of 37765 that divides 37765 without a remainder.

1, 5, 7, 13, 35, 65, 83, 91, 415, 455, 581, 1079, 2905, 5395, 7553

Step-4: Factors of 37775

List of positive integer factors of 37775 that divides 37765 without a remainder.

1, 5, 25, 1511, 7555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37765 and 37775. The biggest common factor number is the GCF number.
So the greatest common factor 37765 and 37775 is 5.

Also check out the Least Common Multiple of 37765 and 37775