What is the Greatest Common Factor of 42354 and 42362?

Greatest common factor (GCF) of 42354 and 42362 is 2.

GCF(42354,42362) = 2

We will now calculate the prime factors of 42354 and 42362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42354 and 42362.

How to find the GCF of 42354 and 42362?

We will first find the prime factorization of 42354 and 42362. After we will calculate the factors of 42354 and 42362 and find the biggest common factor number .

Step-1: Prime Factorization of 42354

Prime factors of 42354 are 2, 3, 13, 181. Prime factorization of 42354 in exponential form is:

42354 = 2¹ × 3² × 13¹ × 181¹

Step-2: Prime Factorization of 42362

Prime factors of 42362 are 2, 59, 359. Prime factorization of 42362 in exponential form is:

42362 = 2¹ × 59¹ × 359¹

Step-3: Factors of 42354

List of positive integer factors of 42354 that divides 42354 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 181, 234, 362, 543, 1086, 1629, 2353, 3258, 4706, 7059, 14118, 21177

Step-4: Factors of 42362

List of positive integer factors of 42362 that divides 42354 without a remainder.

1, 2, 59, 118, 359, 718, 21181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42354 and 42362. The biggest common factor number is the GCF number.
So the greatest common factor 42354 and 42362 is 2.

Also check out the Least Common Multiple of 42354 and 42362