What is the Greatest Common Factor of 75530 and 75544?

Greatest common factor (GCF) of 75530 and 75544 is 14.

GCF(75530,75544) = 14

We will now calculate the prime factors of 75530 and 75544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75530 and 75544.

How to find the GCF of 75530 and 75544?

We will first find the prime factorization of 75530 and 75544. After we will calculate the factors of 75530 and 75544 and find the biggest common factor number .

Step-1: Prime Factorization of 75530

Prime factors of 75530 are 2, 5, 7, 13, 83. Prime factorization of 75530 in exponential form is:

75530 = 2¹ × 5¹ × 7¹ × 13¹ × 83¹

Step-2: Prime Factorization of 75544

Prime factors of 75544 are 2, 7, 19, 71. Prime factorization of 75544 in exponential form is:

75544 = 2³ × 7¹ × 19¹ × 71¹

Step-3: Factors of 75530

List of positive integer factors of 75530 that divides 75530 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 83, 91, 130, 166, 182, 415, 455, 581, 830, 910, 1079, 1162, 2158, 2905, 5395, 5810, 7553, 10790, 15106, 37765

Step-4: Factors of 75544

List of positive integer factors of 75544 that divides 75530 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 71, 76, 133, 142, 152, 266, 284, 497, 532, 568, 994, 1064, 1349, 1988, 2698, 3976, 5396, 9443, 10792, 18886, 37772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75530 and 75544. The biggest common factor number is the GCF number.
So the greatest common factor 75530 and 75544 is 14.

Also check out the Least Common Multiple of 75530 and 75544