What is the Greatest Common Factor of 70705 and 70720?
Greatest common factor (GCF) of 70705 and 70720 is 5.
GCF(70705,70720) = 5
We will now calculate the prime factors of 70705 and 70720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70705 and 70720.
How to find the GCF of 70705 and 70720?
We will first find the prime factorization of 70705 and 70720. After we will calculate the factors of 70705 and 70720 and find the biggest common factor number .
Step-1: Prime Factorization of 70705
Prime factors of 70705 are 5, 79, 179. Prime factorization of 70705 in exponential form is:
70705 = 51 × 791 × 1791
Step-2: Prime Factorization of 70720
Prime factors of 70720 are 2, 5, 13, 17. Prime factorization of 70720 in exponential form is:
70720 = 26 × 51 × 131 × 171
Step-3: Factors of 70705
List of positive integer factors of 70705 that divides 70705 without a remainder.
1, 5, 79, 179, 395, 895, 14141
Step-4: Factors of 70720
List of positive integer factors of 70720 that divides 70705 without a remainder.
1, 2, 4, 5, 8, 10, 13, 16, 17, 20, 26, 32, 34, 40, 52, 64, 65, 68, 80, 85, 104, 130, 136, 160, 170, 208, 221, 260, 272, 320, 340, 416, 442, 520, 544, 680, 832, 884, 1040, 1088, 1105, 1360, 1768, 2080, 2210, 2720, 3536, 4160, 4420, 5440, 7072, 8840, 14144, 17680, 35360
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 70705 and 70720. The biggest common factor number is the GCF number.
So the greatest common factor 70705 and 70720 is 5.
Also check out the Least Common Multiple of 70705 and 70720
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