What is the Greatest Common Factor of 1064 and 1078?

Greatest common factor (GCF) of 1064 and 1078 is 14.

GCF(1064,1078) = 14

We will now calculate the prime factors of 1064 and 1078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1064 and 1078.

How to find the GCF of 1064 and 1078?

We will first find the prime factorization of 1064 and 1078. After we will calculate the factors of 1064 and 1078 and find the biggest common factor number .

Step-1: Prime Factorization of 1064

Prime factors of 1064 are 2, 7, 19. Prime factorization of 1064 in exponential form is:

1064 = 2³ × 7¹ × 19¹

Step-2: Prime Factorization of 1078

Prime factors of 1078 are 2, 7, 11. Prime factorization of 1078 in exponential form is:

1078 = 2¹ × 7² × 11¹

Step-3: Factors of 1064

List of positive integer factors of 1064 that divides 1064 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 133, 152, 266, 532

Step-4: Factors of 1078

List of positive integer factors of 1078 that divides 1064 without a remainder.

1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1064 and 1078. The biggest common factor number is the GCF number.
So the greatest common factor 1064 and 1078 is 14.

Also check out the Least Common Multiple of 1064 and 1078