What is the Greatest Common Factor of 42680 and 42698?

Greatest common factor (GCF) of 42680 and 42698 is 2.

GCF(42680,42698) = 2

We will now calculate the prime factors of 42680 and 42698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42680 and 42698.

How to find the GCF of 42680 and 42698?

We will first find the prime factorization of 42680 and 42698. After we will calculate the factors of 42680 and 42698 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42698

Prime factors of 42698 are 2, 37, 577. Prime factorization of 42698 in exponential form is:

42698 = 2¹ × 37¹ × 577¹

Step-3: Factors of 42680

List of positive integer factors of 42680 that divides 42680 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

Step-4: Factors of 42698

List of positive integer factors of 42698 that divides 42680 without a remainder.

1, 2, 37, 74, 577, 1154, 21349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42680 and 42698. The biggest common factor number is the GCF number.
So the greatest common factor 42680 and 42698 is 2.

Also check out the Least Common Multiple of 42680 and 42698