What is the Greatest Common Factor of 70518 and 70525?

Greatest common factor (GCF) of 70518 and 70525 is 7.

GCF(70518,70525) = 7

We will now calculate the prime factors of 70518 and 70525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70518 and 70525.

How to find the GCF of 70518 and 70525?

We will first find the prime factorization of 70518 and 70525. After we will calculate the factors of 70518 and 70525 and find the biggest common factor number .

Step-1: Prime Factorization of 70518

Prime factors of 70518 are 2, 3, 7, 23, 73. Prime factorization of 70518 in exponential form is:

70518 = 2¹ × 3¹ × 7¹ × 23¹ × 73¹

Step-2: Prime Factorization of 70525

Prime factors of 70525 are 5, 7, 13, 31. Prime factorization of 70525 in exponential form is:

70525 = 5² × 7¹ × 13¹ × 31¹

Step-3: Factors of 70518

List of positive integer factors of 70518 that divides 70518 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 73, 138, 146, 161, 219, 322, 438, 483, 511, 966, 1022, 1533, 1679, 3066, 3358, 5037, 10074, 11753, 23506, 35259

Step-4: Factors of 70525

List of positive integer factors of 70525 that divides 70518 without a remainder.

1, 5, 7, 13, 25, 31, 35, 65, 91, 155, 175, 217, 325, 403, 455, 775, 1085, 2015, 2275, 2821, 5425, 10075, 14105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70518 and 70525. The biggest common factor number is the GCF number.
So the greatest common factor 70518 and 70525 is 7.

Also check out the Least Common Multiple of 70518 and 70525