What is the Greatest Common Factor of 70420 and 70434?

Greatest common factor (GCF) of 70420 and 70434 is 14.

GCF(70420,70434) = 14

We will now calculate the prime factors of 70420 and 70434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70420 and 70434.

How to find the GCF of 70420 and 70434?

We will first find the prime factorization of 70420 and 70434. After we will calculate the factors of 70420 and 70434 and find the biggest common factor number .

Step-1: Prime Factorization of 70420

Prime factors of 70420 are 2, 5, 7, 503. Prime factorization of 70420 in exponential form is:

70420 = 2² × 5¹ × 7¹ × 503¹

Step-2: Prime Factorization of 70434

Prime factors of 70434 are 2, 3, 7, 13, 43. Prime factorization of 70434 in exponential form is:

70434 = 2¹ × 3² × 7¹ × 13¹ × 43¹

Step-3: Factors of 70420

List of positive integer factors of 70420 that divides 70420 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 503, 1006, 2012, 2515, 3521, 5030, 7042, 10060, 14084, 17605, 35210

Step-4: Factors of 70434

List of positive integer factors of 70434 that divides 70420 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 43, 63, 78, 86, 91, 117, 126, 129, 182, 234, 258, 273, 301, 387, 546, 559, 602, 774, 819, 903, 1118, 1638, 1677, 1806, 2709, 3354, 3913, 5031, 5418, 7826, 10062, 11739, 23478, 35217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70420 and 70434. The biggest common factor number is the GCF number.
So the greatest common factor 70420 and 70434 is 14.

Also check out the Least Common Multiple of 70420 and 70434