What is the Greatest Common Factor of 36760 and 36778?

Greatest common factor (GCF) of 36760 and 36778 is 2.

GCF(36760,36778) = 2

We will now calculate the prime factors of 36760 and 36778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36760 and 36778.

How to find the GCF of 36760 and 36778?

We will first find the prime factorization of 36760 and 36778. After we will calculate the factors of 36760 and 36778 and find the biggest common factor number .

Step-1: Prime Factorization of 36760

Prime factors of 36760 are 2, 5, 919. Prime factorization of 36760 in exponential form is:

36760 = 2³ × 5¹ × 919¹

Step-2: Prime Factorization of 36778

Prime factors of 36778 are 2, 7, 37, 71. Prime factorization of 36778 in exponential form is:

36778 = 2¹ × 7¹ × 37¹ × 71¹

Step-3: Factors of 36760

List of positive integer factors of 36760 that divides 36760 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 919, 1838, 3676, 4595, 7352, 9190, 18380

Step-4: Factors of 36778

List of positive integer factors of 36778 that divides 36760 without a remainder.

1, 2, 7, 14, 37, 71, 74, 142, 259, 497, 518, 994, 2627, 5254, 18389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36760 and 36778. The biggest common factor number is the GCF number.
So the greatest common factor 36760 and 36778 is 2.

Also check out the Least Common Multiple of 36760 and 36778