What is the Greatest Common Factor of 77064 and 77083?

Greatest common factor (GCF) of 77064 and 77083 is 19.

GCF(77064,77083) = 19

We will now calculate the prime factors of 77064 and 77083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77064 and 77083.

How to find the GCF of 77064 and 77083?

We will first find the prime factorization of 77064 and 77083. After we will calculate the factors of 77064 and 77083 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 77083

Prime factors of 77083 are 19, 4057. Prime factorization of 77083 in exponential form is:

77083 = 19¹ × 4057¹

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 77083

List of positive integer factors of 77083 that divides 77064 without a remainder.

1, 19, 4057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77064 and 77083. The biggest common factor number is the GCF number.
So the greatest common factor 77064 and 77083 is 19.

Also check out the Least Common Multiple of 77064 and 77083