What is the Greatest Common Factor of 77064 and 77073?

Greatest common factor (GCF) of 77064 and 77073 is 3.

GCF(77064,77073) = 3

We will now calculate the prime factors of 77064 and 77073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77064 and 77073.

How to find the GCF of 77064 and 77073?

We will first find the prime factorization of 77064 and 77073. After we will calculate the factors of 77064 and 77073 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 77073

Prime factors of 77073 are 3, 23, 1117. Prime factorization of 77073 in exponential form is:

77073 = 3¹ × 23¹ × 1117¹

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 77073

List of positive integer factors of 77073 that divides 77064 without a remainder.

1, 3, 23, 69, 1117, 3351, 25691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77064 and 77073. The biggest common factor number is the GCF number.
So the greatest common factor 77064 and 77073 is 3.

Also check out the Least Common Multiple of 77064 and 77073