What is the Greatest Common Factor of 77064 and 77075?

Greatest common factor (GCF) of 77064 and 77075 is 1.

GCF(77064,77075) = 1

We will now calculate the prime factors of 77064 and 77075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77064 and 77075.

How to find the GCF of 77064 and 77075?

We will first find the prime factorization of 77064 and 77075. After we will calculate the factors of 77064 and 77075 and find the biggest common factor number .

Step-1: Prime Factorization of 77064

Prime factors of 77064 are 2, 3, 13, 19. Prime factorization of 77064 in exponential form is:

77064 = 2³ × 3¹ × 13² × 19¹

Step-2: Prime Factorization of 77075

Prime factors of 77075 are 5, 3083. Prime factorization of 77075 in exponential form is:

77075 = 5² × 3083¹

Step-3: Factors of 77064

List of positive integer factors of 77064 that divides 77064 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 19, 24, 26, 38, 39, 52, 57, 76, 78, 104, 114, 152, 156, 169, 228, 247, 312, 338, 456, 494, 507, 676, 741, 988, 1014, 1352, 1482, 1976, 2028, 2964, 3211, 4056, 5928, 6422, 9633, 12844, 19266, 25688, 38532

Step-4: Factors of 77075

List of positive integer factors of 77075 that divides 77064 without a remainder.

1, 5, 25, 3083, 15415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77064 and 77075. The biggest common factor number is the GCF number.
So the greatest common factor 77064 and 77075 is 1.

Also check out the Least Common Multiple of 77064 and 77075