What is the Greatest Common Factor of 42148 and 42160?

Greatest common factor (GCF) of 42148 and 42160 is 4.

GCF(42148,42160) = 4

We will now calculate the prime factors of 42148 and 42160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42148 and 42160.

How to find the GCF of 42148 and 42160?

We will first find the prime factorization of 42148 and 42160. After we will calculate the factors of 42148 and 42160 and find the biggest common factor number .

Step-1: Prime Factorization of 42148

Prime factors of 42148 are 2, 41, 257. Prime factorization of 42148 in exponential form is:

42148 = 2² × 41¹ × 257¹

Step-2: Prime Factorization of 42160

Prime factors of 42160 are 2, 5, 17, 31. Prime factorization of 42160 in exponential form is:

42160 = 2⁴ × 5¹ × 17¹ × 31¹

Step-3: Factors of 42148

List of positive integer factors of 42148 that divides 42148 without a remainder.

1, 2, 4, 41, 82, 164, 257, 514, 1028, 10537, 21074

Step-4: Factors of 42160

List of positive integer factors of 42160 that divides 42148 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 31, 34, 40, 62, 68, 80, 85, 124, 136, 155, 170, 248, 272, 310, 340, 496, 527, 620, 680, 1054, 1240, 1360, 2108, 2480, 2635, 4216, 5270, 8432, 10540, 21080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42148 and 42160. The biggest common factor number is the GCF number.
So the greatest common factor 42148 and 42160 is 4.

Also check out the Least Common Multiple of 42148 and 42160