What is the Greatest Common Factor of 58078 and 58092?

Greatest common factor (GCF) of 58078 and 58092 is 2.

GCF(58078,58092) = 2

We will now calculate the prime factors of 58078 and 58092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58078 and 58092.

How to find the GCF of 58078 and 58092?

We will first find the prime factorization of 58078 and 58092. After we will calculate the factors of 58078 and 58092 and find the biggest common factor number .

Step-1: Prime Factorization of 58078

Prime factors of 58078 are 2, 71, 409. Prime factorization of 58078 in exponential form is:

58078 = 2¹ × 71¹ × 409¹

Step-2: Prime Factorization of 58092

Prime factors of 58092 are 2, 3, 47, 103. Prime factorization of 58092 in exponential form is:

58092 = 2² × 3¹ × 47¹ × 103¹

Step-3: Factors of 58078

List of positive integer factors of 58078 that divides 58078 without a remainder.

1, 2, 71, 142, 409, 818, 29039

Step-4: Factors of 58092

List of positive integer factors of 58092 that divides 58078 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 103, 141, 188, 206, 282, 309, 412, 564, 618, 1236, 4841, 9682, 14523, 19364, 29046

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58078 and 58092. The biggest common factor number is the GCF number.
So the greatest common factor 58078 and 58092 is 2.

Also check out the Least Common Multiple of 58078 and 58092