What is the Greatest Common Factor of 71540 and 71546?

Greatest common factor (GCF) of 71540 and 71546 is 2.

GCF(71540,71546) = 2

We will now calculate the prime factors of 71540 and 71546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71540 and 71546.

How to find the GCF of 71540 and 71546?

We will first find the prime factorization of 71540 and 71546. After we will calculate the factors of 71540 and 71546 and find the biggest common factor number .

Step-1: Prime Factorization of 71540

Prime factors of 71540 are 2, 5, 7, 73. Prime factorization of 71540 in exponential form is:

71540 = 2² × 5¹ × 7² × 73¹

Step-2: Prime Factorization of 71546

Prime factors of 71546 are 2, 83, 431. Prime factorization of 71546 in exponential form is:

71546 = 2¹ × 83¹ × 431¹

Step-3: Factors of 71540

List of positive integer factors of 71540 that divides 71540 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 73, 98, 140, 146, 196, 245, 292, 365, 490, 511, 730, 980, 1022, 1460, 2044, 2555, 3577, 5110, 7154, 10220, 14308, 17885, 35770

Step-4: Factors of 71546

List of positive integer factors of 71546 that divides 71540 without a remainder.

1, 2, 83, 166, 431, 862, 35773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71540 and 71546. The biggest common factor number is the GCF number.
So the greatest common factor 71540 and 71546 is 2.

Also check out the Least Common Multiple of 71540 and 71546