What is the Greatest Common Factor of 42119 and 42126?

Greatest common factor (GCF) of 42119 and 42126 is 7.

GCF(42119,42126) = 7

We will now calculate the prime factors of 42119 and 42126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42119 and 42126.

How to find the GCF of 42119 and 42126?

We will first find the prime factorization of 42119 and 42126. After we will calculate the factors of 42119 and 42126 and find the biggest common factor number .

Step-1: Prime Factorization of 42119

Prime factors of 42119 are 7, 11, 547. Prime factorization of 42119 in exponential form is:

42119 = 7¹ × 11¹ × 547¹

Step-2: Prime Factorization of 42126

Prime factors of 42126 are 2, 3, 7, 17, 59. Prime factorization of 42126 in exponential form is:

42126 = 2¹ × 3¹ × 7¹ × 17¹ × 59¹

Step-3: Factors of 42119

List of positive integer factors of 42119 that divides 42119 without a remainder.

1, 7, 11, 77, 547, 3829, 6017

Step-4: Factors of 42126

List of positive integer factors of 42126 that divides 42119 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 59, 102, 118, 119, 177, 238, 354, 357, 413, 714, 826, 1003, 1239, 2006, 2478, 3009, 6018, 7021, 14042, 21063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42119 and 42126. The biggest common factor number is the GCF number.
So the greatest common factor 42119 and 42126 is 7.

Also check out the Least Common Multiple of 42119 and 42126