What is the Greatest Common Factor of 1064 and 1074?

Greatest common factor (GCF) of 1064 and 1074 is 2.

GCF(1064,1074) = 2

We will now calculate the prime factors of 1064 and 1074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1064 and 1074.

How to find the GCF of 1064 and 1074?

We will first find the prime factorization of 1064 and 1074. After we will calculate the factors of 1064 and 1074 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 1074

Prime factors of 1074 are 2, 3, 179. Prime factorization of 1074 in exponential form is:

1074 = 2¹ × 3¹ × 179¹

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 1074

List of positive integer factors of 1074 that divides 1064 without a remainder.

1, 2, 3, 6, 179, 358, 537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1064 and 1074. The biggest common factor number is the GCF number.
So the greatest common factor 1064 and 1074 is 2.

Also check out the Least Common Multiple of 1064 and 1074