What is the Greatest Common Factor of 36778 and 36792?

Greatest common factor (GCF) of 36778 and 36792 is 14.

GCF(36778,36792) = 14

We will now calculate the prime factors of 36778 and 36792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36778 and 36792.

How to find the GCF of 36778 and 36792?

We will first find the prime factorization of 36778 and 36792. After we will calculate the factors of 36778 and 36792 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36792

Prime factors of 36792 are 2, 3, 7, 73. Prime factorization of 36792 in exponential form is:

36792 = 2³ × 3² × 7¹ × 73¹

Step-3: Factors of 36778

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

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

Step-4: Factors of 36792

List of positive integer factors of 36792 that divides 36778 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 73, 84, 126, 146, 168, 219, 252, 292, 438, 504, 511, 584, 657, 876, 1022, 1314, 1533, 1752, 2044, 2628, 3066, 4088, 4599, 5256, 6132, 9198, 12264, 18396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36778 and 36792. The biggest common factor number is the GCF number.
So the greatest common factor 36778 and 36792 is 14.

Also check out the Least Common Multiple of 36778 and 36792