What is the Greatest Common Factor of 37760 and 37778?

Greatest common factor (GCF) of 37760 and 37778 is 2.

GCF(37760,37778) = 2

We will now calculate the prime factors of 37760 and 37778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37760 and 37778.

How to find the GCF of 37760 and 37778?

We will first find the prime factorization of 37760 and 37778. After we will calculate the factors of 37760 and 37778 and find the biggest common factor number .

Step-1: Prime Factorization of 37760

Prime factors of 37760 are 2, 5, 59. Prime factorization of 37760 in exponential form is:

37760 = 2⁷ × 5¹ × 59¹

Step-2: Prime Factorization of 37778

Prime factors of 37778 are 2, 13, 1453. Prime factorization of 37778 in exponential form is:

37778 = 2¹ × 13¹ × 1453¹

Step-3: Factors of 37760

List of positive integer factors of 37760 that divides 37760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 64, 80, 118, 128, 160, 236, 295, 320, 472, 590, 640, 944, 1180, 1888, 2360, 3776, 4720, 7552, 9440, 18880

Step-4: Factors of 37778

List of positive integer factors of 37778 that divides 37760 without a remainder.

1, 2, 13, 26, 1453, 2906, 18889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37760 and 37778. The biggest common factor number is the GCF number.
So the greatest common factor 37760 and 37778 is 2.

Also check out the Least Common Multiple of 37760 and 37778