What is the Greatest Common Factor of 42364 and 42370?

Greatest common factor (GCF) of 42364 and 42370 is 2.

GCF(42364,42370) = 2

We will now calculate the prime factors of 42364 and 42370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42364 and 42370.

How to find the GCF of 42364 and 42370?

We will first find the prime factorization of 42364 and 42370. After we will calculate the factors of 42364 and 42370 and find the biggest common factor number .

Step-1: Prime Factorization of 42364

Prime factors of 42364 are 2, 7, 17, 89. Prime factorization of 42364 in exponential form is:

42364 = 2² × 7¹ × 17¹ × 89¹

Step-2: Prime Factorization of 42370

Prime factors of 42370 are 2, 5, 19, 223. Prime factorization of 42370 in exponential form is:

42370 = 2¹ × 5¹ × 19¹ × 223¹

Step-3: Factors of 42364

List of positive integer factors of 42364 that divides 42364 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 89, 119, 178, 238, 356, 476, 623, 1246, 1513, 2492, 3026, 6052, 10591, 21182

Step-4: Factors of 42370

List of positive integer factors of 42370 that divides 42364 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 223, 446, 1115, 2230, 4237, 8474, 21185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42364 and 42370. The biggest common factor number is the GCF number.
So the greatest common factor 42364 and 42370 is 2.

Also check out the Least Common Multiple of 42364 and 42370