What is the Greatest Common Factor of 71925 and 71942?

Greatest common factor (GCF) of 71925 and 71942 is 1.

GCF(71925,71942) = 1

We will now calculate the prime factors of 71925 and 71942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71925 and 71942.

How to find the GCF of 71925 and 71942?

We will first find the prime factorization of 71925 and 71942. After we will calculate the factors of 71925 and 71942 and find the biggest common factor number .

Step-1: Prime Factorization of 71925

Prime factors of 71925 are 3, 5, 7, 137. Prime factorization of 71925 in exponential form is:

71925 = 3¹ × 5² × 7¹ × 137¹

Step-2: Prime Factorization of 71942

Prime factors of 71942 are 2, 13, 2767. Prime factorization of 71942 in exponential form is:

71942 = 2¹ × 13¹ × 2767¹

Step-3: Factors of 71925

List of positive integer factors of 71925 that divides 71925 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 137, 175, 411, 525, 685, 959, 2055, 2877, 3425, 4795, 10275, 14385, 23975

Step-4: Factors of 71942

List of positive integer factors of 71942 that divides 71925 without a remainder.

1, 2, 13, 26, 2767, 5534, 35971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71925 and 71942. The biggest common factor number is the GCF number.
So the greatest common factor 71925 and 71942 is 1.

Also check out the Least Common Multiple of 71925 and 71942