What is the Greatest Common Factor of 42674 and 42680?

Greatest common factor (GCF) of 42674 and 42680 is 2.

GCF(42674,42680) = 2

We will now calculate the prime factors of 42674 and 42680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42674 and 42680.

How to find the GCF of 42674 and 42680?

We will first find the prime factorization of 42674 and 42680. After we will calculate the factors of 42674 and 42680 and find the biggest common factor number .

Step-1: Prime Factorization of 42674

Prime factors of 42674 are 2, 19, 1123. Prime factorization of 42674 in exponential form is:

42674 = 2¹ × 19¹ × 1123¹

Step-2: Prime Factorization of 42680

Prime factors of 42680 are 2, 5, 11, 97. Prime factorization of 42680 in exponential form is:

42680 = 2³ × 5¹ × 11¹ × 97¹

Step-3: Factors of 42674

List of positive integer factors of 42674 that divides 42674 without a remainder.

1, 2, 19, 38, 1123, 2246, 21337

Step-4: Factors of 42680

List of positive integer factors of 42680 that divides 42674 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 97, 110, 194, 220, 388, 440, 485, 776, 970, 1067, 1940, 2134, 3880, 4268, 5335, 8536, 10670, 21340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42674 and 42680. The biggest common factor number is the GCF number.
So the greatest common factor 42674 and 42680 is 2.

Also check out the Least Common Multiple of 42674 and 42680