What is the Greatest Common Factor of 78028 and 78034?

Greatest common factor (GCF) of 78028 and 78034 is 2.

GCF(78028,78034) = 2

We will now calculate the prime factors of 78028 and 78034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78028 and 78034.

How to find the GCF of 78028 and 78034?

We will first find the prime factorization of 78028 and 78034. After we will calculate the factors of 78028 and 78034 and find the biggest common factor number .

Step-1: Prime Factorization of 78028

Prime factors of 78028 are 2, 19507. Prime factorization of 78028 in exponential form is:

78028 = 2² × 19507¹

Step-2: Prime Factorization of 78034

Prime factors of 78034 are 2, 11, 3547. Prime factorization of 78034 in exponential form is:

78034 = 2¹ × 11¹ × 3547¹

Step-3: Factors of 78028

List of positive integer factors of 78028 that divides 78028 without a remainder.

1, 2, 4, 19507, 39014

Step-4: Factors of 78034

List of positive integer factors of 78034 that divides 78028 without a remainder.

1, 2, 11, 22, 3547, 7094, 39017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78028 and 78034. The biggest common factor number is the GCF number.
So the greatest common factor 78028 and 78034 is 2.

Also check out the Least Common Multiple of 78028 and 78034