What is the Greatest Common Factor of 75640 and 75649?

Greatest common factor (GCF) of 75640 and 75649 is 1.

GCF(75640,75649) = 1

We will now calculate the prime factors of 75640 and 75649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75640 and 75649.

How to find the GCF of 75640 and 75649?

We will first find the prime factorization of 75640 and 75649. After we will calculate the factors of 75640 and 75649 and find the biggest common factor number .

Step-1: Prime Factorization of 75640

Prime factors of 75640 are 2, 5, 31, 61. Prime factorization of 75640 in exponential form is:

75640 = 2³ × 5¹ × 31¹ × 61¹

Step-2: Prime Factorization of 75649

Prime factors of 75649 are 7, 101, 107. Prime factorization of 75649 in exponential form is:

75649 = 7¹ × 101¹ × 107¹

Step-3: Factors of 75640

List of positive integer factors of 75640 that divides 75640 without a remainder.

1, 2, 4, 5, 8, 10, 20, 31, 40, 61, 62, 122, 124, 155, 244, 248, 305, 310, 488, 610, 620, 1220, 1240, 1891, 2440, 3782, 7564, 9455, 15128, 18910, 37820

Step-4: Factors of 75649

List of positive integer factors of 75649 that divides 75640 without a remainder.

1, 7, 101, 107, 707, 749, 10807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75640 and 75649. The biggest common factor number is the GCF number.
So the greatest common factor 75640 and 75649 is 1.

Also check out the Least Common Multiple of 75640 and 75649